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Finding the Fourth Proportional to 10,138.40, 13,986.65 and 6,359.00

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Solution

The fourth proportional to 10,138.40, 13,986.65 and 6,359.00 is: 8,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.40 : 13,986.65 = 6,359.00 : x
  2. Step 2: Convert to fraction form
    10,138.40/13,986.65 = 6,359.00/x
  3. Step 3: Cross multiply
    10,138.40x = 13,986.65 × 6,359.00
  4. Step 4: Simplify right side
    10,138.40x = 88,941,005.62
  5. Step 5: Solve for x
    x = 88,941,005.62/10,138.40
  6. Step 6: Final answer
    x = 8,772.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.